Suppose an AGI takes over the entire internet - where's the next exponential increase in computing power going to come from?
Moore's law for a while, then from taking over the economy and redirecting as many resources as possible to building more hyper-efficient processors. Deconstructing Mercury and using it to build a sphere of orbiting computers around the sun. Figuring out fusion so as to make more use of the sun's energy. Turning the sun into a black hole and using it as a heatsink. Etc. Not necessarily in that order.
Let's be specific: Before the AGI goes FOOM and takes over human society, where will its increases in computing power come from? Why won't achieving those gains require solving computationally hard problems?
Your examples about wonder technologies like converting Mercury into computron and solving fusion are plausible acts for a post-FOOM AGI, not a pre-FOOM AGI. I'm asserting that the path from one to the other leads through computationally hard problems. For example, a pre-FOOM AGI is likely to want to decrypt something protected by a 512-bit key, right?
I was very interested in the discussions and opinions that grew out of the last time this was played, but find digging through 800+ comments for a new game to start on the same thread annoying. I also don't want this game ruined by a potential sock puppet (whom ever it may be). So here's a non-sockpuppetiered Irrationality Game, if there's still interest. If there isn't, downvote to oblivion!
The original rules:
Enjoy!